JEE Main 2022PhysicsMechanical Properties of SolidsEasyNumerical

JEE Main 2022 — Mechanical Properties of Solids Question with Solution

JEE Main 2022 (27 Jul Shift 1)

Question

A square aluminium (shear modulus is 25×109Nm-2) slab of side 60 cm and thickness 15 cm is subjected to a shearing force (on its narrow face) of 18.0×104 N. The lower edge is riveted to the floor. The displacement of the upper edge is _____ μm.

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Show full solutionCorrect answer: 48
Correct answer
48

Step-by-step explanation

Shearing stress is given by FA=ηxl

Thus, displacement is x=FlAη

⇒x=18×104×60×10-260×10-2×15×10-2×25×109

=48×10-6 m=48 μm

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About this question

This is a previous-year question from JEE Main 2022, covering the Mechanical Properties of Solids chapter of Physics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.